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3 years ago

Solve x. 8x + 34 - 3x = -2 ( 1- 7x)

Mathematics

1 answer:

WARRIOR [948]3 years ago

3 0

Answer:

Step-by-step explanation:

Given:-

8x+34-3x=-2(1-7x)

To solve:-

Solution:-

8x+34-3x=-2(1-7x)

5x+34=-2+14x

5x-14x=-2-34

-9x=-36

x=-36/-9

x=4

hope it helps you!

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The heights of women aged 20 – 29 in the United States are approximately Normal with mean 64.2 inches and standard deviation 2.8

Alenkinab [10]

Answer:

a) 0.64

b) -1.13

Step-by-step explanation:

We are given the following information in the question:

Women:

Mean, μ = 64.2 inches

Standard Deviation, σ = 2.8 inches

We are given that the distribution of heights of women is a bell shaped distribution that is a normal distribution.

Men:

Mean, μ = 69.4 inches

Standard Deviation, σ = 3.0 inches

We are given that the distribution of heights of men is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

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a) z‑score for a woman 5.5 feet tall

$x = 66\\\\\Rightqrrow z = \displaystyle\frac{66 - 64.2}{2.8} = 0.64$

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4 0

3 years ago

A scatter plot is shown below: A graph shows numbers from 0 to 10 on the x axis at increments of 1 and the numbers 0 to 15 on th

Mrrafil [7]

Answer:

B (0, 14) and (10, 1)

Step-by-step explanation:

Option A: (0, 14) and (10, 14)

Equation of line using two point slope form .

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

$(x_1,y_1)=(0,14)$

$(x_2,y_2)=(10,14)$

Substitute values in formula :

$y-14=\frac{14-14}{`10-0}(x-0)$

$y-14=0(x-0)$

$y=14$

Option B : (0, 14) and (10, 1)

Equation of line using two point slope form .

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

$(x_1,y_1)=(0,14)$

$(x_2,y_2)=(10,1)$

Substitute values in formula :

$y-14=\frac{1-14}{`10-0}(x-0)$

$y-14=\frac{-13}{10}(x-0)$

$y=\frac{-13}{10}x+14$

Option C: (0, 7) and (7, 0)

Equation of line using two point slope form .

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

$(x_1,y_1)=(0,7)$

$(x_2,y_2)=(7,0)$

Substitute values in formula :

$y-7=\frac{0-7}{`7-0}(x-0)$

$y-7=\frac{-7}{7}(x)$

$y= -x+7$

Option D: (0, 7) and (3, 0)

Equation of line using two point slope form .

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

$(x_1,y_1)=(0,7)$

$(x_2,y_2)=(3,0)$

Substitute values in formula :

$y-7=\frac{0-7}{`3-0}(x-0)$

$y-7=\frac{-7}{3}(x)$

$y=\frac{-7}{3}(x)+7$

Now after plotting all the lines of given options on the graph of scatter plot we can see that the blue line $y=\frac{-13}{10}x+14$ of Option B the is the line of best fit for this scatter plot Since it is covering almost all ordered pairs of scatter plot.

Hence two ordered pairs can be joined to best draw the line of best fit for this scatter plot are (0, 14) and (10, 1)

Option B is correct.

5 0

3 years ago

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